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Finding the Fourth Proportional to 5,984.25, 8,258.50 and 3,466.32

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Solution

The fourth proportional to 5,984.25, 8,258.50 and 3,466.32 is: 4,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.25 : 8,258.50 = 3,466.32 : x
  2. Step 2: Convert to fraction form
    5,984.25/8,258.50 = 3,466.32/x
  3. Step 3: Cross multiply
    5,984.25x = 8,258.50 × 3,466.32
  4. Step 4: Simplify right side
    5,984.25x = 28,626,562.43
  5. Step 5: Solve for x
    x = 28,626,562.43/5,984.25
  6. Step 6: Final answer
    x = 4,783.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.